Question

Simplify the following using suitable identities (a^2+2b^2)^2-4a^2b^2​

Answer 1

Answer:

${(a - b)}^{2} {(a + b)}^{2}$

Step-by-step explanation:

${ ({a}^{2} + {b}^{2} )}^ {2} - 4 {a}^{2} {b}^{2} \\ = {a}^{4} + {b}^{4} + 2 {a}^{2} {b}^{2} -4 {a}^{2} {b}^{2} \\ = {a}^{4} + {b}^{4} - 2 {a}^{2} {b}^{2} \\ = {( {a}^{2} - {b}^{2}) }^{2} = {(a - b)}^{2} {(a + b)}^{2}$